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SRS Standard pair #487513203
details
property
value
status
complete
benchmark
size-12-alpha-3-num-255.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n126.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.9854009151 seconds
cpu usage
174.1899436
max memory
1.595359232E9
stage attributes
key
value
output-size
2973
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: a(x1) -> x1 a(b(x1)) -> b(c(b(a(x1)))) b(x1) -> a(x1) c(c(c(x1))) -> x1 Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> a(b(c(b(x1)))) b(x1) -> a(x1) c(c(c(x1))) -> x1 DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) b#(a(x1)) -> b#(c(b(x1))) b#(a(x1)) -> a#(b(c(b(x1)))) b#(x1) -> a#(x1) TRS: a(x1) -> x1 b(a(x1)) -> a(b(c(b(x1)))) b(x1) -> a(x1) c(c(c(x1))) -> x1 TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(b(x1)) b#(a(x1)) -> b#(c(b(x1))) b#(a(x1)) -> a#(b(c(b(x1)))) b#(x1) -> a#(x1) TRS: a(x1) -> x1 b(a(x1)) -> a(b(c(b(x1)))) b(x1) -> a(x1) c(c(c(x1))) -> x1 graph: b#(a(x1)) -> b#(c(b(x1))) -> b#(x1) -> a#(x1) b#(a(x1)) -> b#(c(b(x1))) -> b#(a(x1)) -> a#(b(c(b(x1)))) b#(a(x1)) -> b#(c(b(x1))) -> b#(a(x1)) -> b#(c(b(x1))) b#(a(x1)) -> b#(c(b(x1))) -> b#(a(x1)) -> c#(b(x1)) b#(a(x1)) -> b#(c(b(x1))) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(x1) -> b#(x1) -> a#(x1) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(c(b(x1)))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(c(b(x1))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 10/25 DPs: b#(a(x1)) -> b#(c(b(x1))) b#(a(x1)) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> a(b(c(b(x1)))) b(x1) -> a(x1) c(c(c(x1))) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> a(b(c(b(x1)))) b(x1) -> a(x1) c(c(c(x1))) -> x1 interpretation: [b#](x0) = [0 -2]x0, [2 0] [2] [b](x0) = [1 0]x0 + [2], [1 0 ] [2 ] [a](x0) = [-& 0 ]x0 + [-&], [-4 -1] [0] [c](x0) = [0 1 ]x0 + [0] orientation: b#(a(x1)) = [1 0]x1 + [2] >= [0 -1]x1 + [1] = b#(c(b(x1))) b#(a(x1)) = [1 0]x1 + [2] >= [0 -2]x1 = b#(x1) [1 0 ] [2 ] a(x1) = [-& 0 ]x1 + [-&] >= x1 = x1 [3 2] [4] [3 2] [4] b(a(x1)) = [2 1]x1 + [3] >= [2 1]x1 + [3] = a(b(c(b(x1)))) [2 0] [2] [1 0 ] [2 ] b(x1) = [1 0]x1 + [2] >= [-& 0 ]x1 + [-&] = a(x1) [0 1] [0]
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